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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 112. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. Ο Α. Ho: μ> 520, H : μ# 520 Ο Β. Ηo: μ= 520, Η,: μ > 520 O C. Ho: H = 520, H, : µ # 520 O D . Ho: μ< 520, H : μ > 520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.)

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 112. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. Ο Α. Ho: μ> 520, H : μ# 520 Ο Β. Ηo: μ= 520, Η,: μ > 520 O C. Ho: H = 520, H, : µ # 520 O D . Ho: μ< 520, H : μ > 520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Find the P-value. The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? No Yes (c) Do you think that a mean math score of 526 versus 520 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? Yes, because every increase in score is practically significant. No, because the score became only 1.15% greater. ARostConnuortor
Transcribed Image Text:Find the P-value. The P-value is (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? No Yes (c) Do you think that a mean math score of 526 versus 520 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? Yes, because every increase in score is practically significant. No, because the score became only 1.15% greater. ARostConnuortor
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 112. Complete parts (a) through (d) below. ... (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H> 520, H,: µ#520 O B. Ho: µ = 520, H1: µ > 520 O C. Ho: H= 520, H,: µ+ 520 O D. Ho: H< 520, H,: µ > 520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.)
Transcribed Image Text:A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 526 with a standard deviation of 112. Complete parts (a) through (d) below. ... (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H> 520, H,: µ#520 O B. Ho: µ = 520, H1: µ > 520 O C. Ho: H= 520, H,: µ+ 520 O D. Ho: H< 520, H,: µ > 520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.)
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